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Finding the Third Proportional to 1,782,410.50 and 3,711,700

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Solution

The third proportional to 1,782,410.50 and 3,711,700 is: 7,729,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,410.50 : 3,711,700 = 3,711,700 : x
  2. Step 2: Convert to fraction form
    1,782,410.50/3,711,700 = 3,711,700/x
  3. Step 3: Cross multiply
    1,782,410.50x = 3,711,700 × 3,711,700
  4. Step 4: Simplify right side
    1,782,410.50x = 13,776,716,890,000
  5. Step 5: Solve for x
    x = 13,776,716,890,000/1,782,410.50
  6. Step 6: Final answer
    x = 7,729,261.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.